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Finding the Fourth Proportional to 27,714.45, 38,245.99 and 15,777.79

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Solution

The fourth proportional to 27,714.45, 38,245.99 and 15,777.79 is: 21,773.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,714.45 : 38,245.99 = 15,777.79 : x
  2. Step 2: Convert to fraction form
    27,714.45/38,245.99 = 15,777.79/x
  3. Step 3: Cross multiply
    27,714.45x = 38,245.99 × 15,777.79
  4. Step 4: Simplify right side
    27,714.45x = 603,437,198.56
  5. Step 5: Solve for x
    x = 603,437,198.56/27,714.45
  6. Step 6: Final answer
    x = 21,773.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.